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Publications Influence

Invariant almost Hermitian structures on flag manifolds

- L. S. Martin, Caio J. C. Negreiros
- Mathematics
- 25 September 2003

Abstract Let G be a complex semi-simple Lie group and form its maximal flag manifold F =G/P=U/T where P is a minimal parabolic (Borel) subgroup, U a compact real form and T=U∩P a maximal torus of U.… Expand

51 6

Semiflows on Topological Spaces: Chain Transitivity and Semigroups

- Mauro Patrão, L. S. Martin
- Mathematics
- 5 August 2006

This paper studies semiflows on topological spaces. A concept of chain recurrence, based on families of coverings, is introduced and related to Morse decomposition. The chain transitive components… Expand

46 5

Invariant control sets on flag manifolds

- L. S. Martin
- Mathematics, Computer Science
- Math. Control. Signals Syst.
- 1 March 1993

TLDR

60 4

A multiplicative ergodic theorem for rotation numbers

- L. Arnold, L. S. Martin
- Mathematics
- 1989

Given a vector fieldX on a Riemannian manifoldM of dimension at least 2 whose flow leaves a probability measureμ invariant, the multiplicative ergodic theorem tells us thatμ-a.s. every tangent vector… Expand

27 3

Maximal semigroups in semi-simple Lie groups

- L. S. Martin
- Mathematics
- 14 June 2001

The maximal semigroups with nonempty interior in a semi-simple Lie group with finite' center are characterized as compression semigroups of subsets in the flag manifolds of the group. For this… Expand

30 3- PDF

Controllability properties of a class of control systems on lie groups

- V. Ayala, L. S. Martin
- Mathematics
- 2001

Linear control systems on Lie groups were introduced by Markus [3] and also studied by Ayala and Tirao in [1]. For this class of control systems we establish controllability results in the compact… Expand

43 2

Morse and Lyapunov spectra and dynamics on flag bundles

- L. S. Martin, L. Seco
- Mathematics
- Ergodic Theory and Dynamical Systems
- 20 September 2007

Abstract In this paper we study characteristic exponents of flows in relation with the dynamics of flows on flag bundles. The starting point is a flow on a principal bundle with semi-simple group G.… Expand

20 2- PDF

On global controllability of discrete-time control systems

- L. S. Martin
- Mathematics, Computer Science
- Math. Control. Signals Syst.
- 1 September 1995

TLDR

14 2

Controllability of two-dimensional bilinear systems

- C. J. Barros, João Ribeiro Gonçalves Filho, O. G. Rocio, L. S. Martin
- Mathematics
- 1 December 1996

For bilincar control systems x = Ax + uBx, x ∊ R2 , A and B 2 x 2 matrices, necessary and sufficient conditions are given for the controllability on R2 -{0}. The method is through Lie theory, and… Expand

12 1- PDF

Covering space for monotonic homotopy of trajectories of control systems

- F. Colonius, Eyüp Kizil, L. S. Martin
- Mathematics
- 15 September 2005

Abstract This paper considers monotonic (or causal) homotopy between trajectories of control systems. The main result is the construction of an analogue of the simply connected covering space. The… Expand

13 1- PDF

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